%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP680-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:18:32 AM UTC 2026
% Result : Unsatisfiable 0.86s 0.57s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
fof(f10,negated_conjecture,
mult(i(op_c),a) != mult(a,i(op_c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f29,plain,
! [X0] : mult(op_c,rd(X0,op_c)) = X0,
inference(superposition,[],[f9,f3]) ).
fof(f100,plain,
! [X0] : unit = mult(i(X0),X0),
inference(superposition,[],[f8,f5]) ).
fof(f101,plain,
! [X0,X1] : ld(X1,X0) = mult(i(X1),X0),
inference(superposition,[],[f8,f1]) ).
fof(f112,plain,
unit = mult(op_c,i(op_c)),
inference(superposition,[],[f100,f9]) ).
fof(f209,plain,
mult(a,i(op_c)) != ld(op_c,a),
inference(superposition,[],[f10,f101]) ).
fof(f1125,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X0,X1),mult(X1,X2))) = mult(mult(X1,X0),X2),
inference(superposition,[],[f7,f3]) ).
fof(f9479,plain,
! [X0] : mult(mult(op_c,X0),i(op_c)) = mult(op_c,mult(rd(X0,op_c),unit)),
inference(superposition,[],[f1125,f112]) ).
fof(f9596,plain,
! [X0] : mult(op_c,rd(X0,op_c)) = mult(mult(op_c,X0),i(op_c)),
inference(forward_demodulation,[],[f9479,f5]) ).
fof(f9708,plain,
! [X0] : mult(mult(op_c,X0),i(op_c)) = X0,
inference(forward_demodulation,[],[f9596,f29]) ).
fof(f9793,plain,
! [X0] : ld(op_c,X0) = mult(X0,i(op_c)),
inference(superposition,[],[f9708,f1]) ).
fof(f9989,plain,
ld(op_c,a) != ld(op_c,a),
inference(superposition,[],[f209,f9793]) ).
fof(f9990,plain,
$false,
inference(trivial_inequality_removal,[],[f9989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP680-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:38:21 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/0.57 % (3347075)Will run a generic schedule for satisfiability detection.
% 0.86/0.57 % (3347082)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=404464732:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.86/0.57 % (3347081)% WARNING: option uhcvi not known.
% 0.86/0.57 % (3347080)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=426842366_2999 on theBenchmark for (2999ds/0Mi)
% 0.86/0.57 % (3347084)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1935144921:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.86/0.57 % (3347081)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=625621888:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.86/0.57 % (3347083)dis+10_1_sil=32000:sp=arity:random_seed=2114822311:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.86/0.57 % TRYING [1]
% 0.86/0.57 % TRYING [2]
% 0.86/0.57 % TRYING [3]
% 0.86/0.57 % TRYING [4]
% 0.86/0.57 % TRYING [5]
% 0.86/0.57 % (3347086)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3217104009:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.86/0.57 % (3347085)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=123600177:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.86/0.57 % TRYING [6]
% 0.86/0.57 % (3347083)Instruction limit reached!
% 0.86/0.57 % (3347083)------------------------------
% 0.86/0.57 % (3347083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.57 % (3347083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.57 % (3347083)CaDiCaL version: 2.1.3
% 0.86/0.57 % (3347083)Termination reason: Instruction limit
% 0.86/0.57 % (3347083)Termination phase: Saturation
% 0.86/0.57 % (3347083)Time elapsed: 0.055 s
% 0.86/0.57 % (3347083)Peak memory usage: 12 MB
% 0.86/0.57 % (3347083)Instructions burned: 105 (million)
% 0.86/0.57 % TRYING [7]
% 0.86/0.57 % (3347084)Instruction limit reached!
% 0.86/0.57 % (3347084)------------------------------
% 0.86/0.57 % (3347084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.57 % (3347084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.57 % (3347084)CaDiCaL version: 2.1.3
% 0.86/0.57 % (3347084)Termination reason: Instruction limit
% 0.86/0.57 % (3347084)Termination phase: Saturation
% 0.86/0.57 % (3347084)Time elapsed: 0.069 s
% 0.86/0.57 % (3347084)Peak memory usage: 12 MB
% 0.86/0.57 % (3347084)Instructions burned: 118 (million)
% 0.86/0.57 % (3347094)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2105792445:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.86/0.57 % TRYING [1]
% 0.86/0.57 % TRYING [2]
% 0.86/0.57 % TRYING [3]
% 0.86/0.57 % TRYING [4]
% 0.86/0.57 % TRYING [5]
% 0.86/0.57 % (3347095)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1851207201:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.86/0.57 % (3347082) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3347075-3347082"...
% 0.86/0.57 % (3347082)...printing done.
% 0.86/0.57 % (3347082)Refutation found. Thanks to Tanya!
% 0.86/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.86/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.86/0.57 % (3347082)------------------------------
% 0.86/0.57 % (3347082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.57 % (3347082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.57 % (3347082)CaDiCaL version: 2.1.3
% 0.86/0.57 % (3347082)Termination reason: Refutation
% 0.86/0.57 % (3347082)Time elapsed: 0.108 s
% 0.86/0.57 % (3347082)Peak memory usage: 14 MB
% 0.86/0.57 % (3347082)Instructions burned: 377 (million)
% 0.86/0.57 % (3347075)Success in time 0.146 s
% 0.86/0.57 % Vampire exiting
%------------------------------------------------------------------------------